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You have $16$ balls, $4$ green, and $9$ red. You also have $3$ urns. For each of the $16$ balls. you select an urn at random and put the ball into it.(Urns are large enough to accommodate any number of balls.)

(c) What is the probability that each urn contains all three colors?

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Pr= (number of favorable cases) / (total number of cases)

(4*9*3  *  3*8*2  *  2*7*1) / (3^16)

=(4*8*2*2*7) / (3^12)

=896/531441

 

total cases =3^16 as 3 choices for each of 16 balls..

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